2(x-16)-5(x-3)=18

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Solution for 2(x-16)-5(x-3)=18 equation:


Simplifying
2(x + -16) + -5(x + -3) = 18

Reorder the terms:
2(-16 + x) + -5(x + -3) = 18
(-16 * 2 + x * 2) + -5(x + -3) = 18
(-32 + 2x) + -5(x + -3) = 18

Reorder the terms:
-32 + 2x + -5(-3 + x) = 18
-32 + 2x + (-3 * -5 + x * -5) = 18
-32 + 2x + (15 + -5x) = 18

Reorder the terms:
-32 + 15 + 2x + -5x = 18

Combine like terms: -32 + 15 = -17
-17 + 2x + -5x = 18

Combine like terms: 2x + -5x = -3x
-17 + -3x = 18

Solving
-17 + -3x = 18

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '17' to each side of the equation.
-17 + 17 + -3x = 18 + 17

Combine like terms: -17 + 17 = 0
0 + -3x = 18 + 17
-3x = 18 + 17

Combine like terms: 18 + 17 = 35
-3x = 35

Divide each side by '-3'.
x = -11.66666667

Simplifying
x = -11.66666667

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